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Finding the Third Proportional to 50,719.50 and 108,474.19

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Solution

The third proportional to 50,719.50 and 108,474.19 is: 231,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,719.50 : 108,474.19 = 108,474.19 : x
  2. Step 2: Convert to fraction form
    50,719.50/108,474.19 = 108,474.19/x
  3. Step 3: Cross multiply
    50,719.50x = 108,474.19 × 108,474.19
  4. Step 4: Simplify right side
    50,719.50x = 11,766,649,353.79
  5. Step 5: Solve for x
    x = 11,766,649,353.79/50,719.50
  6. Step 6: Final answer
    x = 231,994.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.